23314202220400 has 480 divisors, whose sum is σ = 72484791926400. Its totient is φ = 7007319244800.

The previous prime is 23314202220389. The next prime is 23314202220457. The reversal of 23314202220400 is 402220241332.

23314202220400 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64210566 + ... + 64572634.

It is an arithmetic number, because the mean of its divisors is an integer number (151009983180).

Almost surely, 2^{23314202220400} is an apocalyptic number.

23314202220400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23314202220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36242395963200).

23314202220400 is an abundant number, since it is smaller than the sum of its proper divisors (49170589706000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23314202220400 is a wasteful number, since it uses less digits than its factorization.

23314202220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362197 (or 362186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 23314202220400 its reverse (402220241332), we get a palindrome (23716422461732).

The spelling of 23314202220400 in words is "twenty-three trillion, three hundred fourteen billion, two hundred two million, two hundred twenty thousand, four hundred".